Higher November 2022 Paper 2 Q23

AQACurrent spec5 marksGrouped DataHistograms

23 61 students recorded how many hours they spent revising for a test.

The histogram represents the results.

Histogram of frequency density against time (hours) from 0 to 20: bar 0 to 6 height 1.5, 6 to 10 height 3.5, 10 to 12 height 5, 12 to 16 height 4.5, 16 to 20 height 2.5
(a) Work out an estimate of the mean time the 61 students spent revising.

You may use the table to help you. [4 marks]

Time, \(x\) (hours)FrequencyMidpoint      
\(0 \leqslant x \lt 6\)
\(6 \leqslant x \lt 10\)
\(10 \leqslant x \lt 12\)
\(12 \leqslant x \lt 16\)
\(16 \leqslant x \lt 20\)
(b) Give a reason why the answer to part (a) is an estimate. [1 mark]
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